Seventh Mississippi State - UAB Conference on Differential Equations and
Computational Simulations.
Electronic Journal of Differential Equations,
Conference 17 (2009), pp. 71-80. 

Title: Existence of three solutions for a higher-order boundary-value problem

Authors: John R. Graef (Univ. of Tennessee, Chattanooga, TN, USA)
         Lingju Kong   (Univ. of Tennessee, Chattanooga, TN, USA)
	 Qingkai Kong  (Northern Illinois Univ., DeKalb, IL, USA}
 
Abstract: 
 We consider a higher-order multi-point boundary-value problem with
 a nonlinear boundary condition.
 Sufficient conditions are obtained for the existence of three solutions.
 In our problem, the differential equation has dependence on all
 lower order derivatives of the unknown function and the boundary
 condition covers many multi-point boundary conditions studied
 earlier by other authors. Our results extend some recent work
 in the literature. 

Published April 15, 2009.
Math Subject Classifications: 34B15, 34B18.
Key Words: Solutions; boundary value problems; lower and upper solutions;
           Nagumo condition; degree theory.